%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV543-1.007 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:17:39 PM UTC 2026
% Result : Unsatisfiable 4.46s 1.35s
% Output : Refutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 47
% Syntax : Number of formulae : 107 ( 107 unt; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 49 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f3,axiom,
! [X2,X0,X1] : store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f6,axiom,
a_787 = store(a_785,i2,e_786),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
fof(f7,axiom,
a_789 = store(a_787,i1,e_788),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
fof(f8,axiom,
a_791 = store(a_789,i0,e_790),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
fof(f9,axiom,
a_793 = store(a_791,i5,e_792),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
fof(f10,axiom,
a_795 = store(a_793,i2,e_794),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
fof(f11,axiom,
a_797 = store(a_795,i5,e_796),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
fof(f12,axiom,
a_799 = store(a_797,i1,e_798),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
fof(f13,axiom,
a_800 = store(a_799,i1,e_798),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
fof(f14,axiom,
a_802 = store(a_800,i5,e_801),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
fof(f15,axiom,
a_804 = store(a_802,i2,e_803),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
fof(f16,axiom,
a_806 = store(a_804,i5,e_805),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
fof(f17,axiom,
a_808 = store(a_806,i2,e_807),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
fof(f18,axiom,
a_809 = store(a_785,i1,e_788),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
fof(f19,axiom,
a_810 = store(a_809,i2,e_786),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
fof(f20,axiom,
a_812 = store(a_810,i5,e_811),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
fof(f21,axiom,
a_814 = store(a_812,i0,e_813),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
fof(f22,axiom,
a_816 = store(a_814,i5,e_815),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
fof(f23,axiom,
a_818 = store(a_816,i2,e_817),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
fof(f24,axiom,
a_820 = store(a_818,i1,e_819),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
fof(f25,axiom,
a_821 = store(a_820,i1,e_819),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
fof(f26,axiom,
a_823 = store(a_821,i5,e_822),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
fof(f27,axiom,
a_825 = store(a_823,i2,e_824),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
fof(f28,axiom,
a_827 = store(a_825,i5,e_826),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
fof(f29,axiom,
a_829 = store(a_827,i2,e_828),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
fof(f32,axiom,
e_786 = select(a_785,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
fof(f33,axiom,
e_788 = select(a_785,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).
fof(f34,axiom,
e_790 = select(a_789,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).
fof(f35,axiom,
e_792 = select(a_789,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).
fof(f36,axiom,
e_794 = select(a_793,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).
fof(f37,axiom,
e_796 = select(a_793,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).
fof(f38,axiom,
e_798 = select(a_797,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).
fof(f39,axiom,
e_801 = select(a_800,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).
fof(f40,axiom,
e_803 = select(a_800,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).
fof(f41,axiom,
e_805 = select(a_804,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).
fof(f42,axiom,
e_807 = select(a_804,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).
fof(f43,axiom,
e_811 = select(a_810,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).
fof(f44,axiom,
e_813 = select(a_810,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).
fof(f45,axiom,
e_815 = select(a_814,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).
fof(f46,axiom,
e_817 = select(a_814,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).
fof(f47,axiom,
e_819 = select(a_818,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).
fof(f48,axiom,
e_822 = select(a_821,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).
fof(f49,axiom,
e_824 = select(a_821,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).
fof(f50,axiom,
e_826 = select(a_825,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).
fof(f51,axiom,
e_828 = select(a_825,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).
fof(f52,negated_conjecture,
a_808 != a_829,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f53,plain,
a_829 = store(a_827,i2,select(a_825,i5)),
inference(forward_demodulation,[],[f29,f51]) ).
fof(f54,plain,
a_827 = store(a_825,i5,select(a_825,i2)),
inference(forward_demodulation,[],[f28,f50]) ).
fof(f55,plain,
a_825 = store(a_823,i2,select(a_821,i5)),
inference(forward_demodulation,[],[f27,f49]) ).
fof(f56,plain,
a_823 = store(a_821,i5,select(a_821,i2)),
inference(forward_demodulation,[],[f26,f48]) ).
fof(f57,plain,
a_821 = store(a_820,i1,select(a_818,i1)),
inference(forward_demodulation,[],[f25,f47]) ).
fof(f58,plain,
a_820 = store(a_818,i1,select(a_818,i1)),
inference(forward_demodulation,[],[f24,f47]) ).
fof(f59,plain,
a_818 = store(a_816,i2,select(a_814,i5)),
inference(forward_demodulation,[],[f23,f46]) ).
fof(f60,plain,
a_816 = store(a_814,i5,select(a_814,i2)),
inference(forward_demodulation,[],[f22,f45]) ).
fof(f61,plain,
a_814 = store(a_812,i0,select(a_810,i5)),
inference(forward_demodulation,[],[f21,f44]) ).
fof(f62,plain,
a_812 = store(a_810,i5,select(a_810,i0)),
inference(forward_demodulation,[],[f20,f43]) ).
fof(f63,plain,
a_810 = store(a_809,i2,select(a_785,i1)),
inference(forward_demodulation,[],[f19,f32]) ).
fof(f64,plain,
a_809 = store(a_785,i1,select(a_785,i2)),
inference(forward_demodulation,[],[f18,f33]) ).
fof(f65,plain,
a_808 = store(a_806,i2,select(a_804,i5)),
inference(forward_demodulation,[],[f17,f42]) ).
fof(f66,plain,
a_806 = store(a_804,i5,select(a_804,i2)),
inference(forward_demodulation,[],[f16,f41]) ).
fof(f67,plain,
a_804 = store(a_802,i2,select(a_800,i5)),
inference(forward_demodulation,[],[f15,f40]) ).
fof(f68,plain,
a_802 = store(a_800,i5,select(a_800,i2)),
inference(forward_demodulation,[],[f14,f39]) ).
fof(f69,plain,
a_800 = store(a_799,i1,select(a_797,i1)),
inference(forward_demodulation,[],[f13,f38]) ).
fof(f70,plain,
a_799 = store(a_797,i1,select(a_797,i1)),
inference(forward_demodulation,[],[f12,f38]) ).
fof(f71,plain,
a_797 = store(a_795,i5,select(a_793,i2)),
inference(forward_demodulation,[],[f11,f37]) ).
fof(f72,plain,
a_795 = store(a_793,i2,select(a_793,i5)),
inference(forward_demodulation,[],[f10,f36]) ).
fof(f73,plain,
a_793 = store(a_791,i5,select(a_789,i0)),
inference(forward_demodulation,[],[f9,f35]) ).
fof(f74,plain,
a_791 = store(a_789,i0,select(a_789,i5)),
inference(forward_demodulation,[],[f8,f34]) ).
fof(f75,plain,
a_789 = store(a_787,i1,select(a_785,i2)),
inference(forward_demodulation,[],[f7,f33]) ).
fof(f76,plain,
a_787 = store(a_785,i2,select(a_785,i1)),
inference(forward_demodulation,[],[f6,f32]) ).
fof(f78,plain,
a_808 != store(a_827,i2,select(a_825,i5)),
inference(backward_demodulation,[],[f52,f53]) ).
fof(f80,plain,
a_825 = store(store(a_821,i5,select(a_821,i2)),i2,select(a_821,i5)),
inference(backward_demodulation,[],[f55,f56]) ).
fof(f81,plain,
a_821 = store(store(a_818,i1,select(a_818,i1)),i1,select(a_818,i1)),
inference(backward_demodulation,[],[f57,f58]) ).
fof(f82,plain,
a_818 = store(store(a_814,i5,select(a_814,i2)),i2,select(a_814,i5)),
inference(backward_demodulation,[],[f59,f60]) ).
fof(f83,plain,
a_814 = store(store(a_810,i5,select(a_810,i0)),i0,select(a_810,i5)),
inference(backward_demodulation,[],[f61,f62]) ).
fof(f84,plain,
a_810 = store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),
inference(backward_demodulation,[],[f63,f64]) ).
fof(f85,plain,
a_808 = store(store(a_804,i5,select(a_804,i2)),i2,select(a_804,i5)),
inference(backward_demodulation,[],[f65,f66]) ).
fof(f86,plain,
a_804 = store(store(a_800,i5,select(a_800,i2)),i2,select(a_800,i5)),
inference(backward_demodulation,[],[f67,f68]) ).
fof(f87,plain,
a_800 = store(store(a_797,i1,select(a_797,i1)),i1,select(a_797,i1)),
inference(backward_demodulation,[],[f69,f70]) ).
fof(f88,plain,
a_797 = store(store(a_793,i2,select(a_793,i5)),i5,select(a_793,i2)),
inference(backward_demodulation,[],[f71,f72]) ).
fof(f89,plain,
a_793 = store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),
inference(backward_demodulation,[],[f73,f74]) ).
fof(f90,plain,
a_789 = store(store(a_785,i2,select(a_785,i1)),i1,select(a_785,i2)),
inference(backward_demodulation,[],[f75,f76]) ).
fof(f91,plain,
a_808 != store(store(a_825,i5,select(a_825,i2)),i2,select(a_825,i5)),
inference(forward_demodulation,[],[f78,f54]) ).
fof(f93,plain,
a_825 = store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),
inference(forward_demodulation,[],[f80,f3]) ).
fof(f94,plain,
a_818 = store(store(a_814,i2,select(a_814,i5)),i5,select(a_814,i2)),
inference(forward_demodulation,[],[f82,f3]) ).
fof(f95,plain,
a_814 = store(store(a_810,i0,select(a_810,i5)),i5,select(a_810,i0)),
inference(forward_demodulation,[],[f83,f3]) ).
fof(f99,plain,
a_808 = store(store(a_804,i2,select(a_804,i5)),i5,select(a_804,i2)),
inference(forward_demodulation,[],[f85,f3]) ).
fof(f100,plain,
a_804 = store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),
inference(forward_demodulation,[],[f86,f3]) ).
fof(f101,plain,
a_800 = store(store(store(store(a_793,i2,select(a_793,i5)),i5,select(a_793,i2)),i1,select(store(store(a_793,i2,select(a_793,i5)),i5,select(a_793,i2)),i1)),i1,select(store(store(a_793,i2,select(a_793,i5)),i5,select(a_793,i2)),i1)),
inference(backward_demodulation,[],[f87,f88]) ).
fof(f108,plain,
a_789 = store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),
inference(forward_demodulation,[],[f90,f3]) ).
fof(f109,plain,
a_808 != store(store(a_825,i2,select(a_825,i5)),i5,select(a_825,i2)),
inference(forward_demodulation,[],[f91,f3]) ).
fof(f114,plain,
a_821 = store(store(store(store(a_814,i2,select(a_814,i5)),i5,select(a_814,i2)),i1,select(store(store(a_814,i2,select(a_814,i5)),i5,select(a_814,i2)),i1)),i1,select(store(store(a_814,i2,select(a_814,i5)),i5,select(a_814,i2)),i1)),
inference(backward_demodulation,[],[f81,f94]) ).
fof(f117,plain,
a_814 = store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),
inference(forward_demodulation,[],[f95,f84]) ).
fof(f118,plain,
a_808 = store(store(store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),i2,select(store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),i5)),i5,select(store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),i2)),
inference(backward_demodulation,[],[f99,f100]) ).
fof(f124,plain,
a_800 = store(store(store(store(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i2,select(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i5)),i5,select(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i2)),i1,select(store(store(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i2,select(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i5)),i5,select(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i2)),i1)),i1,select(store(store(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i2,select(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i5)),i5,select(store(store(a_789,i0,select(a_789,i5)),i5,select(a_789,i0)),i2)),i1)),
inference(forward_demodulation,[],[f101,f89]) ).
fof(f133,plain,
a_808 != store(store(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2,select(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i5)),i5,select(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2)),
inference(forward_demodulation,[],[f109,f93]) ).
fof(f146,plain,
a_821 = store(store(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),
inference(backward_demodulation,[],[f114,f117]) ).
fof(f150,plain,
a_808 = store(store(store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),i2,select(a_800,i2)),i5,select(store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),i2)),
inference(forward_demodulation,[],[f118,f1]) ).
fof(f153,plain,
a_800 = store(store(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),
inference(forward_demodulation,[],[f124,f108]) ).
fof(f157,plain,
a_808 != store(store(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2,select(a_821,i2)),i5,select(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2)),
inference(forward_demodulation,[],[f133,f1]) ).
fof(f166,plain,
a_821 = store(store(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f171,plain,
a_800 = store(store(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),
inference(forward_demodulation,[],[f153,f1]) ).
fof(f172,plain,
store(store(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2,select(a_821,i2)),i5,select(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2)) != store(store(store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),i2,select(a_800,i2)),i5,select(store(store(a_800,i2,select(a_800,i5)),i5,select(a_800,i2)),i2)),
inference(forward_demodulation,[],[f157,f150]) ).
fof(f189,plain,
store(store(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2,select(a_821,i2)),i5,select(store(store(a_821,i2,select(a_821,i5)),i5,select(a_821,i2)),i2)) != store(store(store(store(store(store(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i2,select(store(store(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i5)),i5,select(store(store(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2)),i1)),i1,select(store(store(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i5)),i5,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i2,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0)),i5,select(store(store(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i0,select(store(store(a_785,i1,select(a_785,i2)),i2,select(a_785,i1)),i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inference(forward_demodulation,[],[f172,f171]) ).
fof(f190,plain,
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!= 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inference(forward_demodulation,[],[f189,f166]) ).
fof(f191,plain,
$false,
inference(trivial_inequality_removal,[],[f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV543-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n013.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 11:39:22 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.46/1.35 % (1118902)Input is clausal, will run a generic CNF schedule.
% 4.46/1.35 % (1118909)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=530640550:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.46/1.35 % (1118908)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=544426037:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.46/1.35 % (1118907)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2649507823:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.46/1.35 % (1118911)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1944051323:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.46/1.35 % (1118912)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3461089438:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.46/1.35 % (1118910)lrs+10_1_sil=8000:sp=occurrence:random_seed=1247320166:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.46/1.35 % (1118913)dis-21_1_sil=8000:lcm=predicate:random_seed=4263014882:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.46/1.35 % (1118913)Refutation not found, incomplete strategy
% 4.46/1.35 % (1118913)------------------------------
% 4.46/1.35 % (1118913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (1118913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (1118913)CaDiCaL version: 2.1.3
% 4.46/1.35 % (1118913)Termination reason: Refutation not found, incomplete strategy
% 4.46/1.35 % (1118913)Time elapsed: 0.002 s
% 4.46/1.35 % (1118913)Peak memory usage: 88 MB
% 4.46/1.35 % (1118913)Instructions burned: 1 (million)
% 4.46/1.35 % (1118910)Instruction limit reached!
% 4.46/1.35 % (1118910)------------------------------
% 4.46/1.35 % (1118910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (1118910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (1118910)CaDiCaL version: 2.1.3
% 4.46/1.35 % (1118910)Termination reason: Instruction limit
% 4.46/1.35 % (1118910)Termination phase: Saturation
% 4.46/1.35 % (1118910)Time elapsed: 0.058 s
% 4.46/1.35 % (1118910)Peak memory usage: 89 MB
% 4.46/1.35 % (1118910)Instructions burned: 107 (million)
% 4.46/1.35 % (1118911)Instruction limit reached!
% 4.46/1.35 % (1118911)------------------------------
% 4.46/1.35 % (1118911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (1118911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (1118911)CaDiCaL version: 2.1.3
% 4.46/1.35 % (1118911)Termination reason: Instruction limit
% 4.46/1.35 % (1118911)Termination phase: Saturation
% 4.46/1.35 % (1118911)Time elapsed: 0.059 s
% 4.46/1.35 % (1118911)Peak memory usage: 88 MB
% 4.46/1.35 % (1118911)Instructions burned: 114 (million)
% 4.46/1.35 % (1118912)Instruction limit reached!
% 4.46/1.35 % (1118912)------------------------------
% 4.46/1.35 % (1118912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (1118912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (1118912)CaDiCaL version: 2.1.3
% 4.46/1.35 % (1118912)Termination reason: Instruction limit
% 4.46/1.35 % (1118912)Termination phase: Saturation
% 4.46/1.35 % (1118912)Time elapsed: 0.125 s
% 4.46/1.35 % (1118912)Peak memory usage: 89 MB
% 4.46/1.35 % (1118912)Instructions burned: 180 (million)
% 4.46/1.35 % (1118922)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2014938239:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.46/1.35 % (1118921)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=491743299:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.46/1.35 % (1118922)First to succeed.
% 4.46/1.35 % (1118922)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1118902"
% 4.46/1.35 % (1118913)------------------------------
% 4.46/1.35 % (1118913)------------------------------
% 4.46/1.35 % (1118923)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1889078155:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.46/1.35 % (1118921)Instruction limit reached!
% 4.46/1.35 % (1118921)------------------------------
% 4.46/1.35 % (1118921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.35 % (1118921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.35 % (1118921)CaDiCaL version: 2.1.3
% 4.46/1.35 % (1118921)Termination reason: Instruction limit
% 4.46/1.35 % (1118921)Termination phase: Saturation
% 4.46/1.35 % (1118921)Time elapsed: 0.087 s
% 4.46/1.35 % (1118921)Peak memory usage: 89 MB
% 4.46/1.35 % (1118921)Instructions burned: 144 (million)
% 4.46/1.35 % (1118923)Also succeeded, but the first one will report.
% 4.46/1.35 % (1118909)Also succeeded, but the first one will report.
% 4.46/1.35 % (1118926)lrs+10_64_to=lpo:sil=8000:random_seed=2700897595:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.46/1.35 % (1118926)Also succeeded, but the first one will report.
% 4.46/1.35 % (1118928)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=984547204:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.46/1.35 % (1118922)Refutation found. Thanks to Tanya!
% 4.46/1.35 % SZS status Unsatisfiable for theBenchmark
% 4.46/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.33/1.55 % (1118922)------------------------------
% 5.33/1.55 % (1118922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.55 % (1118922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.55 % (1118922)CaDiCaL version: 2.1.3
% 5.33/1.55 % (1118922)Termination reason: Refutation
% 5.33/1.55 % (1118922)Time elapsed: 0.023 s
% 5.33/1.55 % (1118922)Peak memory usage: 89 MB
% 5.33/1.55 % (1118922)Instructions burned: 54 (million)
% 5.33/1.55 % (1118922)------------------------------
% 5.33/1.55 % (1118922)------------------------------
% 5.33/1.55 % (1118902)Success in time 0.664 s
% 5.33/1.55 % Vampire exiting
%------------------------------------------------------------------------------